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Finding the Fourth Proportional to 264,876.08, 397,138.76 and 104,846

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Solution

The fourth proportional to 264,876.08, 397,138.76 and 104,846 is: 157,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,876.08 : 397,138.76 = 104,846 : x
  2. Step 2: Convert to fraction form
    264,876.08/397,138.76 = 104,846/x
  3. Step 3: Cross multiply
    264,876.08x = 397,138.76 × 104,846
  4. Step 4: Simplify right side
    264,876.08x = 41,638,410,430.96
  5. Step 5: Solve for x
    x = 41,638,410,430.96/264,876.08
  6. Step 6: Final answer
    x = 157,199.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.